34134344013 has 96 divisors (see below), whose sum is σ = 60615180288. Its totient is φ = 16595481600.

The previous prime is 34134344011. The next prime is 34134344017. The reversal of 34134344013 is 31044343143.

It is not a de Polignac number, because 34134344013 - 2¹ = 34134344011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134344011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12749631 + ... + 12752307.

It is an arithmetic number, because the mean of its divisors is an integer number (631408128).

Almost surely, 2^34134344013 is an apocalyptic number.

34134344013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34134344013 is a deficient number, since it is larger than the sum of its proper divisors (26480836275).

34134344013 is a wasteful number, since it uses less digits than its factorization.

34134344013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 34134344013 its reverse (31044343143), we get a palindrome (65178687156).

The spelling of 34134344013 in words is "thirty-four billion, one hundred thirty-four million, three hundred forty-four thousand, thirteen".